This is an angle trisection attempt. [url=http://en.wikipedia.org/wiki/Angle_trisection#Proof_of_impossibility]Angle trisection has been disproved[/url], so how does this work? Or, to pose the question another way, why [b]doesn't[/b] it?
If you can answer the above question for [b]this specific method[/b], you can get the line trisection tool!